Lectures on Seiberg-Written Invarients (Record no. 1893)

000 -LEADER
fixed length control field 02276nam a2200205Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240828164014.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 180518s2001 xx 000 0 und d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540412212
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number QA3
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Moore John Douglas
245 ## - TITLE STATEMENT
Title Lectures on Seiberg-Written Invarients
250 ## - EDITION STATEMENT
Edition statement 2nd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. Springer,
Date of publication, distribution, etc. [c2001]
Place of publication, distribution, etc. New York:
300 ## - Physical Description
Pages: 121 p.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1. Preliminaries<br/>2. Spin geometry on four-manifolds<br/>3. Global analysis of the Seiberg-Witten equations
520 ## - SUMMARY, ETC.
Summary, etc. Riemannian, symplectic and complex geometry are often studied by means ofsolutions to systems ofnonlinear differential equations, such as the equa­ tions of geodesics, minimal surfaces, pseudoholomorphic curves and Yang­ Mills connections. For studying such equations, a new unified technology has been developed, involving analysis on infinite-dimensional manifolds. A striking applications of the new technology is Donaldson's theory of "anti-self-dual" connections on SU(2)-bundles over four-manifolds, which applies the Yang-Mills equations from mathematical physics to shed light on the relationship between the classification of topological and smooth four-manifolds. This reverses the expected direction of application from topology to differential equations to mathematical physics. Even though the Yang-Mills equations are only mildly nonlinear, a prodigious amount of nonlinear analysis is necessary to fully understand the properties of the space of solutions. . At our present state of knowledge, understanding smooth structures on topological four-manifolds seems to require nonlinear as opposed to linear PDE's. It is therefore quite surprising that there is a set of PDE's which are even less nonlinear than the Yang-Mills equation, but can yield many of the most important results from Donaldson's theory. These are the Seiberg-Witte~ equations. These lecture notes stem from a graduate course given at the University of California in Santa Barbara during the spring quarter of 1995. The objective was to make the Seiberg-Witten approach to Donaldson theory accessible to second-year graduate students who had already taken basic courses in differential geometry and algebraic topology.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 3 05/18/2018 QA3 01163 Book